Hamilton-Ivey estimates for the Ricci-Bourguignon flow with ρ<0

2022/02/17 by Valter Borges, Borges, Valter · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2202.08683

Abstract

In this paper, we prove Hamilton-Ivey estimates for the Ricci-Bourguignon flow on a compact manifold, with n=3 and ρ&lt;0. As a consequence, we prove that compact ancient solutions have nonnegative sectional curvature for all negative ρ.

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• Topology at infinity of complete gradient Schouten solitons

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